Simplify ((3xy)^2(2x^4y^3))/(6x^8y)

$\frac{{(3 x y)}^{2} (2 x^{4} y^{3})}{6 x^{8} y}$

Reduce the expression by cancelling the common factors.

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of ${(3 x y)}^{2} (2 x^{4} y^{3})$ .

$\frac{2 ({(3 x y)}^{2} (x^{4} y^{3}))}{6 x^{8} y}$

Cancel the common factors.

Factor $2$ out of $6 x^{8} y$ .

$\frac{2 ({(3 x y)}^{2} (x^{4} y^{3}))}{2 (3 x^{8} y)}$

Cancel the common factor.

$\frac{2 ({(3 x y)}^{2} (x^{4} y^{3}))}{2 (3 x^{8} y)}$

Rewrite the expression.

$\frac{{(3 x y)}^{2} (x^{4} y^{3})}{3 x^{8} y}$

Cancel the common factor of $x^{4}$ and $x^{8}$ .

Factor $x^{4}$ out of ${(3 x y)}^{2} (x^{4} y^{3})$ .

$\frac{x^{4} ({(3 x y)}^{2} (y^{3}))}{3 x^{8} y}$

Cancel the common factors.

Factor $x^{4}$ out of $3 x^{8} y$ .

$\frac{x^{4} ({(3 x y)}^{2} (y^{3}))}{x^{4} (3 x^{4} y)}$

Cancel the common factor.

$\frac{x^{4} ({(3 x y)}^{2} (y^{3}))}{x^{4} (3 x^{4} y)}$

Rewrite the expression.

$\frac{{(3 x y)}^{2} (y^{3})}{3 x^{4} y}$

Cancel the common factor of $y^{3}$ and $y$ .

Factor $y$ out of ${(3 x y)}^{2} (y^{3})$ .

$\frac{y ({(3 x y)}^{2} (y^{2}))}{3 x^{4} y}$

Cancel the common factors.

Factor $y$ out of $3 x^{4} y$ .

$\frac{y ({(3 x y)}^{2} (y^{2}))}{y (3 x^{4})}$

Cancel the common factor.

$\frac{y ({(3 x y)}^{2} (y^{2}))}{y (3 x^{4})}$

Rewrite the expression.

$\frac{{(3 x y)}^{2} (y^{2})}{3 x^{4}}$

Simplify the numerator.

Apply the product rule to $3 x y$ .

$\frac{{(3 x)}^{2} y^{2} y^{2}}{3 x^{4}}$

Multiply $y^{2}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$\frac{{(3 x)}^{2} (y^{2} y^{2})}{3 x^{4}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{{(3 x)}^{2} y^{2 + 2}}{3 x^{4}}$

Add $2$ and $2$ .

$\frac{{(3 x)}^{2} y^{4}}{3 x^{4}}$

Apply the product rule to $3 x$ .

$\frac{3^{2} x^{2} y^{4}}{3 x^{4}}$

Raise $3$ to the power of $2$ .

$\frac{9 x^{2} y^{4}}{3 x^{4}}$

Reduce the expression by cancelling the common factors.

Cancel the common factor of $9$ and $3$ .

Factor $3$ out of $9 x^{2} y^{4}$ .

$\frac{3 (3 x^{2} y^{4})}{3 x^{4}}$

Cancel the common factors.

Factor $3$ out of $3 x^{4}$ .

$\frac{3 (3 x^{2} y^{4})}{3 (x^{4})}$

Cancel the common factor.

$\frac{3 (3 x^{2} y^{4})}{3 x^{4}}$

Rewrite the expression.

$\frac{3 x^{2} y^{4}}{x^{4}}$

Cancel the common factor of $x^{2}$ and $x^{4}$ .

Factor $x^{2}$ out of $3 x^{2} y^{4}$ .

$\frac{x^{2} (3 y^{4})}{x^{4}}$

Cancel the common factors.

Factor $x^{2}$ out of $x^{4}$ .

$\frac{x^{2} (3 y^{4})}{x^{2} x^{2}}$

Cancel the common factor.

$\frac{x^{2} (3 y^{4})}{x^{2} x^{2}}$

Rewrite the expression.

$\frac{3 y^{4}}{x^{2}}$

Simplify ((3xy)^2(2x^4y^3))/(6x^8y)

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